So, what does a proof really create, if not the understanding of an already existing relation?
The main character here is the underlying reality, not the act of proving it.
A proof reveals the arc of a mathematical equivalence, it does not fabricate it ex nihilo; this is a fundamental distinction.
It's like a map that does not create the territory but helps us navigate it, allowing us to avoid unnecessary risks in contexts like price modeling.
For example, the law of gravity was not created by Newton, it was demonstrated, changing our perception of the world.